Abstract and Applied Analysis

On the Mean Values of Certain Character Sums

Zhefeng Xu and Huaning Liu

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Abstract

Let q 5 be an odd number. In this paper, we study the fourth power mean of certain character sums χ mod q , χ - 1 = - 1 * 1 a q / 4 a χ a 4 and χ mod q , χ - 1 = 1 * 1 a q / 4 a χ a 4 , where * denotes the summation over primitive characters modulo q , and give some asymptotic formulae.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 326597, 19 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512170

Digital Object Identifier
doi:10.1155/2013/326597

Mathematical Reviews number (MathSciNet)
MR3134154

Zentralblatt MATH identifier
1303.11093

Citation

Xu, Zhefeng; Liu, Huaning. On the Mean Values of Certain Character Sums. Abstr. Appl. Anal. 2013 (2013), Article ID 326597, 19 pages. doi:10.1155/2013/326597. https://projecteuclid.org/euclid.aaa/1393512170


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